Free Printable Basics of Geometry

1.

What is the correct notation for the figure shown?

a)

$\overrightarrow{VW}$

b)

$\overrightarrow{WV}$

c)

$\overline{VW}$

d)

$\overleftarrow{WV}$

2.

What type of figure is shown?

a)

point

b)

line segment

c)

line

d)

plane

3.

Which of the following correctly names the figure shown?

a)

b)

c)

d)

4.

Which of the following shows a pair of opposite rays?

a)

b)

c)

d)

5.

What is it called when points lie on the same line.

a)

Midpoint

b)

Coplanear

c)

Segment Bisector

d)

Collinear

6.

A location in space that is represented by a dot and has no dimensions

a)

Point

b)

Line

c)

Plane

d)

Angle

7.

What are the arrows pointing to?

a)

Ray

b)

Endpoints

c)

Midpoint

d)

Vertex

8.

Consists of 2 endpoints and all the points in between.

a)

Ray

b)

Line

c)

Line Segment

d)

Angle

9.

What is this Symbol called?

a)

Congruent

b)

Equal

c)

Parallel Lines

d)

Angle

10.

Points that lie in the same plane.

a)

Colinear

b)

Intersection

c)

Parallel Planes

d)

Coplanear

11.

Two rays that have a common endpoint and form a line.

a)

Linear Pair

b)

Opposite Rays

c)

Right Angle

d)

Supplementary Angles

12.

part of a line that starts at an endpoint and extends forever in one direction

a)

line

b)

segment

c)

ray

d)

vertex

13.

In this picture, point E is called a:

a)

Ray

b)

Line

c)

Vertex

d)

Angle

14.

How many noncollinear points are needed to name a plane?

a)

3

b)

1

c)

2

d)

4

15.

Two planes intersect at a...

a)

line

b)

point

c)

plane

d)

letter

16.

A line that extends from a point in one direction and travels forever is called a _____.

a)

perpendicular line

b)

line segment

c)

ray

d)

parallel line

17.

An angle that measures exactly 90 degrees

a)

straight angle

b)

acute angle

c)

right angle

d)

obtuse angle

18.

Q is the midpoint of line segment PR. Line segment PQ = 6x – 7 and line segment QR = 5x + 1. Find the length of line segment PR.

a)

8

b)

16

c)

41

d)

82

19.

True or False: Points A, B, and C are coplanar.

a)

True

b)

False

20.

Name two lines

a)

AB, CD

b)

AS, DE

c)

BC, DE

d)

C, D

21.

How would you describe points I, L, and C?

a)

collinear

b)

non-coplanar

c)

symmetric

d)

coplanar

22.

Give another name for plane Q.

a)

Plane FEGI

b)

Plane FEG

c)

Plane m

d)

Plane FGI

23.

What is the intersection of line EF and line BF

a)

line GF

b)

point B

c)

Point E

d)

Point F

24.

Points that lie on the same line are _________.

a)

coplanar

b)

collinear

c)

parallel

d)

perpendicular

25.

Which of the following is the correct way to name this plane?

a)

b)

c)

d)

26.

If CE = 7x + 4, find the value of x.

a)

5

b)

8

c)

31

d)

39

27.

If Q is the midpoint of PR, find the value of x.

a)

26

b)

6

c)

52

d)

4

28.

An acute angle is....

a)

less than 90 degrees

b)

greater than 90 degrees

c)

equal to 90 degrees

d)

equal to 180 degrees

29.

An obtuse angle is...

a)

equal to 180 degrees

b)

equal to 90 degrees

c)

greater than 90 degrees

d)

less than 90 degrees

30.

A right angle is...

a)

equal to 180 degrees

b)

equal to 90 degrees

c)

greater than 90 degrees

d)

less than 90 degrees

31.

A straight angle is...

a)

less than 90 degrees

b)

greater than 90 degrees

c)

equal to 90 degrees

d)

equal to 180 degrees

32.

Which ray is an angle bisector?

a)

$\overrightarrow{TU}$

b)

$\overrightarrow{TZ}$

c)

$\overrightarrow{WT}$

d)

$\overrightarrow{WX}$

33.

A midpoint of a segment is a point that divides the segment into two __________________________ segments.

a)

Equidistant

b)

Congruent

c)

Regular

d)

Equilateral

34.

The distance formula comes from the following equation:

a)

Midpoint Formula

b)

Circumference

c)

Slope Equation

d)

Pythagorean Theorem

35.

Find the distance between the pair of points A(-2, 4) and N(3, -3).

a)

5

b)

8.60

c)

7

d)

9.22

36.

Which angle is a vertical angle to with $\angle7$ ?

a)

$\angle1$

b)

$\angle5$

c)

$\angle3$

d)

$\angle6$

e)

$\angle9$

37.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

38.

∠7 and ∠8 are _______________

a)

Vertical

b)

Nothing

c)

Adjacent

d)

Supplementary

39.

Which are pairs of vertical angles?

a)

∠COB and ∠COA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOD

40.

Which are pairs of adjacent angles?

a)

∠COB and ∠DOA

b)

∠AOD and ∠AOC

c)

∠COB and ∠AOD

d)

∠BOD and ∠AOC

41.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

42.

Find the value of x.

a)

18°

b)

28°

c)

38°

d)

118°

43.

$\overrightarrow{EJ}\$ bisects $\angle DEF$ , $m\angle DEJ=5x+7$ , $m\angle JEF=8x-8$ .
Find x.

a)

5

b)

2

c)

6

d)

13

44.

a)

15

b)

16

c)

18

d)

19

45.

Find the m∠1

a)

67

b)

113

c)

180

d)

23

46.

Choose the points that are non-coplanar.

a)

D, E, and F

b)

D, H, and F

c)

F, D, and G

d)

G, E, and D

47.

Give another name for line k.

a)

Line BC

b)

Line BCE

c)

Line ED

d)

Line k is the only name, there isn't another name.

48.

Solve for x.

a)

5

b)

7

c)

14

d)

21

49.

Which of these is NOT a length of a segment in the picture if AC is 18?

a)

1

b)

18

c)

3

d)

17

50.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

51.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

52.

(5,9) (-1,9)

a)

(2,9)

b)

(9,2)

c)

(0, 0)

53.

Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).

a)

(1, 3)

b)

(3.5, -.5)

c)

(-.5, 3.5)

d)

(6, -.5)

54.

What is the name of this polygon?

a)

a pentagon

b)

a quadrilateral

c)

an octagon

d)

a triangle

55.

What is the measure of angle FGI?

a)

180

b)

162

c)

28

d)

18

Basics of Geometry

Total questions: 55

Worksheet time: 3hrs 45mins

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